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Finding the Fourth Proportional to 265,692.96, 398,643.12 and 153,313.83

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Solution

The fourth proportional to 265,692.96, 398,643.12 and 153,313.83 is: 230,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,692.96 : 398,643.12 = 153,313.83 : x
  2. Step 2: Convert to fraction form
    265,692.96/398,643.12 = 153,313.83/x
  3. Step 3: Cross multiply
    265,692.96x = 398,643.12 × 153,313.83
  4. Step 4: Simplify right side
    265,692.96x = 61,117,503,530.35
  5. Step 5: Solve for x
    x = 61,117,503,530.35/265,692.96
  6. Step 6: Final answer
    x = 230,030.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.